Suppose that the production Q (in gallons of paint) of a paint manufacturer can be modeled by Q = 140K/21/2, where K is the company's capital expenditures in thousands of dollars and L is the size of the labor force (in hours worked). Find aQ/ak when capital expenditures are $230,000 and the labor hours are 900. (Round your answer to two decimal places.) aq/ak = Interpret aQ/aK. If labor hours remain at 900 and K increases by $1000, Q will increase about gallons of paint. Find aQ/aL when capital expenditures are $230,000 and the labor hours are 900. (Round your answer to two decimal places.) aqjak = Interpret aQ/aL. If capital expenditures remain at $230,000 and L increases by one hour, Q will increase about gallons of paint.
Suppose that the production Q (in gallons of paint) of a paint manufacturer can be modeled by Q = 140K/21/2, where K is the company's capital expenditures in thousands of dollars and L is the size of the labor force (in hours worked). Find aQ/ak when capital expenditures are $230,000 and the labor hours are 900. (Round your answer to two decimal places.) aq/ak = Interpret aQ/aK. If labor hours remain at 900 and K increases by $1000, Q will increase about gallons of paint. Find aQ/aL when capital expenditures are $230,000 and the labor hours are 900. (Round your answer to two decimal places.) aqjak = Interpret aQ/aL. If capital expenditures remain at $230,000 and L increases by one hour, Q will increase about gallons of paint.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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 alt="Suppose that the production Q (in gallons of paint) of a paint manufacturer can be modeled by Q = 140K/2L/2, where K is the company's capital expenditures in thousands of dollars and L is the size
of the labor force (in hours worked).
Find aQ/ƏK when capital expenditures are $230,000 and the labor hours are 900. (Round your answer to two decimal places.)
aQ/ək =
Interpret aQ/ƏK.
If labor hours remain at 900 and K increases by $1000,
will increase about
gallons of paint.
Find aQ/ƏL when capital expenditures are $230,000 and the labor hours are 900. (Round your answer to two decimal places.)
aQ/Ək =
Interpret aQ/aL.
If capital expenditures remain at $230,000 and L increases by one hour, Q will increase about
gallons of paint.
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Read It
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Transcribed Image Text:Suppose that the production Q (in gallons of paint) of a paint manufacturer can be modeled by Q = 140K/2L/2, where K is the company's capital expenditures in thousands of dollars and L is the size
of the labor force (in hours worked).
Find aQ/ƏK when capital expenditures are $230,000 and the labor hours are 900. (Round your answer to two decimal places.)
aQ/ək =
Interpret aQ/ƏK.
If labor hours remain at 900 and K increases by $1000,
will increase about
gallons of paint.
Find aQ/ƏL when capital expenditures are $230,000 and the labor hours are 900. (Round your answer to two decimal places.)
aQ/Ək =
Interpret aQ/aL.
If capital expenditures remain at $230,000 and L increases by one hour, Q will increase about
gallons of paint.
Need Help?
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